Home / 12,431-16,878

Finding the Third Proportional to 12,431 and 16,878

Calculator

Solution

The third proportional to 12,431 and 16,878 is: 22,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431 : 16,878 = 16,878 : x
  2. Step 2: Convert to fraction form
    12,431/16,878 = 16,878/x
  3. Step 3: Cross multiply
    12,431x = 16,878 × 16,878
  4. Step 4: Simplify right side
    12,431x = 284,866,884
  5. Step 5: Solve for x
    x = 284,866,884/12,431
  6. Step 6: Final answer
    x = 22,915.85

Related Problems

Find third proportional to 6,215.50 and 8,439
Half scale
Find third proportional to 24,862 and 33,756
Double scale
Find third proportional to 12,433 and 16,881
Similar ratio
Find third proportional to 18,646.50 and 25,317
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.